/*
www-ATLAS of Group Representations.
M22:2 represented as permutations on 77 points.
*/

G<x,y>:=PermutationGroup<77|\[
28,29,67,26,5,37,54,23,9,68,11,42,58,14,57,65,31,40,60,74,56,22,8,36,39,
4,30,1,2,27,17,76,33,34,35,24,6,38,25,18,70,12,43,44,66,46,63,48,73,50,
51,61,71,7,55,21,15,13,59,19,52,62,47,64,16,45,3,10,72,41,53,69,49,20,75,
32,77]
,\[
53,3,4,45,36,32,10,29,57,69,72,16,49,58,7,73,28,63,76,30,75,43,62,11,34,
61,41,22,42,23,54,21,68,25,39,5,66,46,56,24,27,77,17,18,2,48,19,70,33,51,
26,44,1,31,47,65,67,14,37,60,50,20,52,59,35,64,74,13,15,38,12,40,71,9,6,
55,8]
>;
print "Group G is M22:2 < Sym(77)";